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sammy [17]
2 years ago
12

One third the sum of two consecutive numbers is one less than the smaller. Find the numbers.

Mathematics
1 answer:
Vilka [71]2 years ago
8 0
(B) 4 and 5

4 and 5 are consecutive numbers and when you add both of them (sum) you get 9.

Once you get 9, it says 1/3 of the sum of the two consecutive numbers.

So we would do 9 divided by 3 which then we would get 3.

It also says the number is one less than the smaller number (which is 4 in this case as 4 is smaller than 5).

3 is one number smaller than 4 and is therefore the answer.
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Does it matter what order you add the numbers in a problem? explain how chips and numbers lines support your answer.
Mrac [35]

Answer: No, it does not matter.

Step-by-step explanation:

In addition the order does not matter, this is because of the commutative property of the addition, that says that: A + B = B + A

and the associative property, that says that:

A + (B + C) = (A + B) + C

for example, if you have 4 chips and your friend gives you her 5 chips, now you have a total of 4 + 5 =  9 chips.

The case is the same if you have 5 chips and your friend gives you 4 chips, now you have 5 + 4 = 9 chips.

Other example is that:

5 chips + ( 2chips + 1 chip) = 5 chips + 3 chips = 8 chips

(5 chips + 2 chips) + 1 chip = 7 chips + 1 chip = 8 chips

You can see that the order does not matter.

4 0
3 years ago
(x^7/8) (x^1/4)<br> Simplify the expression using the properties of exponents
valkas [14]

Answer:

x^9/8

Step-by-step explanation:

The exponent property that you can use here is that when multiplying the two exponents, you add their exponents

Thus, (x^7/8) (x^1/4) = x^(7/8+1/4)=x^9/8

5 0
3 years ago
Janet borrowed $5,500 from the bank at an interest rate of 7.5% for one year Assuming she pays it back on time how much interest
Dominik [7]
$5912.50. To work out one percent of 5500 you divide it by 100 which makes 55. You then times that by 7.5 which makes 412.50. Add that onto 5500 and you get the answer.
3 0
3 years ago
30% of 10 is what number
frez [133]

Answer:

3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
This Venn diagram shows the pizza topping preferences for 9 students. Let event A = The student likes pepperoni. Let event B = T
Lelechka [254]

Answer:

P(A\ or\ B)=\frac{7}{9}

Step-by-step explanation:

We need to use the formula to calculate the probability of (A or B) where  

A=Probability a student likes pepperoni

B=Probability a student likes olive

A and B =Probability a student likes both toppings in a pizza

A or B =Probability a student likes pepperoni or olive (and maybe both), a non-exclusive or

The formula is

P(A\ or\ B)=P(A)+P(B)-P(A\ and\ B)

Since 6 students like pepperoni out of 9:

P(A) = \frac{6}{9}

Since 4 students like olive out of 9:

P(B) = \frac{4}{9}

Since 3 students like both toppings out of 9

P(A\ and\ B) = \frac{3}{9}

Then we have

P(A\ or\ B)=\frac{6}{9}+\frac{4}{9}-\frac{3}{9}

P(A\ or\ B)=\frac{7}{9}

6 0
3 years ago
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